Old fire engine in Dresden goes out after end of bombing (5,7)
I believe the answer is:
green goddess
'old fire engine' is the definition.
(historical type of fire engine)
'dresden goes out after end of bombing' is the wordplay.
'out' indicates an anagram (out can mean wrong or inaccurate).
'after' is a charade indicator (letters next to each other).
'end of' indicates one should take the final letters.
The last letter of 'bombing' is 'g'.
'dresden'+'goes'='dresdengoes'
'dresdengoes' with letters rearranged gives 'reengoddess'.
'reengoddess' put after 'g' is 'GREEN GODDESS'.
'in' is the link.
(Other definitions for green goddess that I've seen before include "Old army fire engine" , "Old type of fire engine" , "Veteran army fire engine" .)